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Finding the Fourth Proportional to 189.18, 282.38 and 182.16

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Solution

The fourth proportional to 189.18, 282.38 and 182.16 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.18 : 282.38 = 182.16 : x
  2. Step 2: Convert to fraction form
    189.18/282.38 = 182.16/x
  3. Step 3: Cross multiply
    189.18x = 282.38 × 182.16
  4. Step 4: Simplify right side
    189.18x = 51,437.43
  5. Step 5: Solve for x
    x = 51,437.43/189.18
  6. Step 6: Final answer
    x = 271.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.